Besides to prove combinatorial identities, WZ-pairs have many other applications.
One of the applications can be traced back to Andrei Markov's 1890 method for convergence-acceleration of series for
computing \(\zeta (3)\) , which leads to the Markov-WZ method [1]}, [2]}, [3]}.
WZ-pairs also play a central role in the study of finding Ramanujan-type and Zeilberger-type series for constants
involving \(\pi \)  in [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, zeta values [12]}, [13]}
and their \(q\) -analogues [14]}, [15]}, [16]}. Most recent applications are related to
congruences and super congruences [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}.
